Fourteen problems cover math you learned before your first Algebra class, such as percent, absolute value, powers, square roots, simple probability, simple statistics (mean, median, mode), and interpreting charts, tables & graphs.
Practice problems at the bottom of this page.
1. Number Problems 2. Multiples, Factors, & Primes 3. Divisibility and Remainders 4. Percentages 5. Ratios and Proportions
6. Mean, Median, & Mode 7. Probability 8. Absolute Value 9. Exponents and Roots 10. Series
0000000000000000000000000000000000000000000000000 ZERO IS A 'WEIRDO'! (W)hole (E)ven (I)nteger (R)Rational/Real (DO) Cannot Divide by O! BUT Zero is NOT Positive and NOT Negative! 00000000000000000000000000000000000000000000000000
CONSECUTIVE NUMBERS:following one another in uninterrupted succession or order: six consecutive numbers, such as 5, 6, 7, 8, 9, 10 or three ODD CONSECUTIVE numbers such as 3, 5, 7.
MEMORIZE the formula for the nth term of an arithmetic sequence: a(n) = a(1) + (n-1)d. Example: Consider the sequence of positive integers which leave a remainder of 3 when divided by 4. What is the 100th term? Step 1: List the first few terms 3,7,11,15,... to see the pattern and recognize it is an arithmetic sequence. Step 2: Identify the values which are given First term or a(1) = 3 Common difference or d = 4 Number of terms or position of desired term or n = 100 Step 3: Substitute into formula and solve a(100) = a(1) + (100-1)(4) = 3 + (99)(4) = 399 Of course there are other ways to find the 100th term such as 100 x 4 - 1 but the formula is so useful for so many types of questions it is worth learning! (http://mathnotations.blogspot.com/)
Pre-Algebra Basics: (~23% of ACT Math)
Practice problems at the bottom of this page.
2. Multiples, Factors, & Primes
3. Divisibility and Remainders
4. Percentages
5. Ratios and Proportions
7. Probability
8. Absolute Value
9. Exponents and Roots
10. Series
Word Problem Solving Resources: https://prezi.com/secure/e7e4586585b6d22d46a207be6eb9987c03dcb853/
Complete interactive tutorials for PreAlgebra here:
· http://www.cimt.plymouth.ac.uk/projects/mepres/book7/book7int.htm· http://www.cimt.plymouth.ac.uk/projects/mepres/book8/book8int.htm
Notes and Diagrams: http://www.sparknotes.com/testprep/books/act/chapter10section2.rhtml
Quick Practice Problems: http://www.act-math-practice.com/act-math-problems.htm
ACT Pre-Algebra Practice Problems PowerPoint (UPDATED) and Pre-Algebra Problem Sets
Do you remember:
GCF? (Greatest Common Factor) LCM? (Lowest Common Multiple)
GCF (same as HCF) and LCM Practice:
http://www.cimt.plymouth.ac.uk/projects/mepres/book8/bk8i2/bk8_2i4.htmFractions? Decimals? Percent?
Quick review – ordering fractions: http://www.teacherled.com/resources/slidepuzzle/fslideload.htmlMultiplying and Dividing Fractions: http://www.kidsolr.com/math/fractions.html (Click on MULTIPLY/DIVIDE FRACTIONS & MIXED NUMBERS)
Decimals into Fractions: http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i17/bk7_17i1.htm
Fractions into Decimals: http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i17/b
Quick Practice Problems: http://www.act-math-practice.com/act-math-problems.htm
Quick review – ordering fractions: http://www.teacherled.com/resources/slidepuzzle/fslideloadk7_17i2.htm
Percentages: http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i17/bk7_17i3.htm
Games: http://jmathpage.com/JIMSFractionspage.html (bottom of page)
Probability?
http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i21/bk7_21i2.htmMEMORIZE THIS:
ZERO IS A 'WEIRDO'!
(W)hole
(E)ven
(I)nteger
(R)Rational/Real
(DO) Cannot Divide by O!
BUT Zero is NOT Positive and NOT Negative!
00000000000000000000000000000000000000000000000000
Examples: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20...
CONSECUTIVE NUMBERS: following one another in uninterrupted succession or order:
six consecutive numbers, such as 5, 6, 7, 8, 9, 10 or
three ODD CONSECUTIVE numbers such as 3, 5, 7.
PRIMES start from 2 (not 1)
Examples: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37...
INTEGERS can be NEGative (and zero!) as well as positive
...-10, -9, -8, -7, -6, -5, -4, -3. -2, -1, 0 1, 2, 3, 4, 5, 6, 7, 8, 9, 10...
Practice Problems
Example: Consider the sequence of positive integers which leave a remainder of 3 when divided by 4. What is the 100th term?
Step 1: List the first few terms 3,7,11,15,... to see the pattern and recognize it is an arithmetic sequence.
Step 2: Identify the values which are given
First term or a(1) = 3
Common difference or d = 4
Number of terms or position of desired term or n = 100
Step 3: Substitute into formula and solve
a(100) = a(1) + (100-1)(4) = 3 + (99)(4) = 399
Of course there are other ways to find the 100th term such as 100 x 4 - 1 but the formula is so useful for so many types of questions it is worth learning! (http://mathnotations.blogspot.com/)